Home / 1,534.03-2,116.74-870.78

Finding the Fourth Proportional to 1,534.03, 2,116.74 and 870.78

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Solution

The fourth proportional to 1,534.03, 2,116.74 and 870.78 is: 1,201.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.03 : 2,116.74 = 870.78 : x
  2. Step 2: Convert to fraction form
    1,534.03/2,116.74 = 870.78/x
  3. Step 3: Cross multiply
    1,534.03x = 2,116.74 × 870.78
  4. Step 4: Simplify right side
    1,534.03x = 1,843,214.86
  5. Step 5: Solve for x
    x = 1,843,214.86/1,534.03
  6. Step 6: Final answer
    x = 1,201.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.